The orbit space of the action of gauge transformation group on connections

1989 ◽  
Vol 6 (4) ◽  
pp. 537-557 ◽  
Author(s):  
Maria C. Abbati ◽  
Renzo Cirelli ◽  
Alessandro Manià
1986 ◽  
Vol 27 (10) ◽  
pp. 2469-2474 ◽  
Author(s):  
M. C. Abbati ◽  
R. Cirelli ◽  
A. Manià ◽  
P. Michor

2006 ◽  
Vol 235 (1) ◽  
pp. 90-121 ◽  
Author(s):  
Robert Archbold ◽  
Astrid an Huef

1953 ◽  
Vol 5 ◽  
pp. 113-125
Author(s):  
Sze-Tsen hu

Let Q be a topological transformation group operating on the left of a topological space X. Let us denote by. B the orbit space and p : X → B the projection, p is a continuous and open map of X onto B. For an arbitrary abelian coefficient group G, the continuous map p induces homomorphisms


Mathematics ◽  
2021 ◽  
Vol 9 (7) ◽  
pp. 733
Author(s):  
Yu-Shan Bai ◽  
Peng-Xiang Su ◽  
Wen-Xiu Ma

In this paper, by using the gauge transformation and the Lax pairs, the N-fold Darboux transformation (DT) of the classical three-component nonlinear Schrödinger (NLS) equations is given. In addition, by taking seed solutions and using the DT, exact solutions for the given NLS equations are constructed.


2020 ◽  
Vol 29 (1) ◽  
pp. 94-106
Author(s):  
Chongyuan Hou ◽  
Yuan Yang ◽  
Yikang Yang ◽  
Kaizhong Yang ◽  
Xiao Zhang ◽  
...  

AbstractThe increase in space debris orbiting Earth is a critical problem for future space missions. Space debris removal has thus become an area of interest, and significant research progress is being made in this field. However, the exorbitant cost of space debris removal missions is a major concern for commercial space companies. We therefore propose the debris removal using electromagnetic launcher (DREL) system, a ground-based electromagnetic launch system (railgun), for space debris removal missions. The DREL system has three components: a ground-based electromagnetic launcher (GEML), suborbital vehicle (SOV), and mass of micrometer-scale dust (MSD) particles. The average cost of removing a piece of low-earth orbit space debris using DREL was found to be approximately USD 160,000. The DREL method is thus shown to be economical; the total cost to remove more than 2,000 pieces of debris in a cluster was only approximately USD 400 million, compared to the millions of dollars required to remove just one or two pieces of debris using a conventional space debris removal mission. By using DREL, the cost of entering space is negligible, thereby enabling countries to remove their space debris in an affordable manner.


Sign in / Sign up

Export Citation Format

Share Document